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Determinantshard
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Let AAA be a 3×33 \times 33×3 matrix such that det⁡(A)=2\det(A) = 2det(A)=2. If B=adj(A)B = \text{adj}(A)B=adj(A) is the adjugate matrix, calculate det⁡(BTB)\det(B^T B)det(BTB).